Differentiating Matrices
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I have a 2 by 2 matrix and i need to differentiate each term in this matrix by each term in another 2 by 2 matrix so that i end up with a 4 by 4 result. Eventually i will be doing the same thing with 20 by 5 matrices. Is there any way of doing this? Can anybody help please?
4 Comments
Walter Roberson
on 5 Oct 2011
Pasting the code would be a good start. Commenting the code would help after that.
Answers (2)
Walter Roberson
on 3 Oct 2011
Is this symbolic or numeric differentiation ? If it is symbolic, is the second matrix containing just one symbol per entry or does it contain expressions? Differentiating with respect to an expression is not easy.
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Haast
on 3 Oct 2011
3 Comments
Walter Roberson
on 5 Oct 2011
You could do that, but there are alternatives. For example, at the MATLAB level, you might be able to use
diffs_list = simple(subs('map(proc(thisvar,expression) diff(expression,thisvar) end_proc, indets(YourExpression) minus Type::ConstantIdents, YourExpression)', 'YourExpression', your_symbolic_expression));
Unfortunately I do not have the symbolic toolbox myself, so I am not certain it is possible to activate the internal toolkit map() operation in this manner.
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